Pith Number

pith:F3VJF5OG

pith:2012:F3VJF5OG4XKOPA47RWWZR5ZIEL

not attested not anchored not stored refs pending

The String Landscape: On Formulas for Counting Vacua

Richard P. Stanley, Tamar Friedmann

arxiv:1212.0583 v1 · 2012-12-03 · hep-th · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3VJF5OG4XKOPA47RWWZR5ZIEL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:52:48.113396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eea92f5c6e5d4e7839f8dad98f72822c91d10a25c2896fbd7a0470f1f013e6f

Aliases

arxiv: 1212.0583 · arxiv_version: 1212.0583v1 · doi: 10.48550/arxiv.1212.0583 · pith_short_12: F3VJF5OG4XKO · pith_short_16: F3VJF5OG4XKOPA47 · pith_short_8: F3VJF5OG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F3VJF5OG4XKOPA47RWWZR5ZIEL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2eea92f5c6e5d4e7839f8dad98f72822c91d10a25c2896fbd7a0470f1f013e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84f56b7644c71ead0083c19095471bb84964b4ad10b8b5617eda805f223aff7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-03T23:11:17Z",
    "title_canon_sha256": "1e3ecaa8d9353c76f0fd5cd54f819f724ec6a2a2968db24be76e377479438c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0583",
    "kind": "arxiv",
    "version": 1
  }
}